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Finding the Fourth Proportional to 8,071.84, 11,138.76 and 4,535.44

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Solution

The fourth proportional to 8,071.84, 11,138.76 and 4,535.44 is: 6,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.84 : 11,138.76 = 4,535.44 : x
  2. Step 2: Convert to fraction form
    8,071.84/11,138.76 = 4,535.44/x
  3. Step 3: Cross multiply
    8,071.84x = 11,138.76 × 4,535.44
  4. Step 4: Simplify right side
    8,071.84x = 50,519,177.65
  5. Step 5: Solve for x
    x = 50,519,177.65/8,071.84
  6. Step 6: Final answer
    x = 6,258.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.